dc.contributor.author | TYSON, CJ | en_US |
dc.date.accessioned | 2015-06-10T16:14:57Z | |
dc.date.issued | 2013 | en_US |
dc.identifier.issn | 0304-4068 | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0304406813000256 | |
dc.identifier.uri | http://qmro.qmul.ac.uk/xmlui/handle/123456789/7659 | |
dc.description.abstract | A discrete symmetry of a preference relation is a mapping from the domain of choice to itself under which preference comparisons are invariant; a continuous symmetry is a one-parameter family of such transformations that includes the identity; and a symmetry field is a vector field whose trajectories generate a continuous symmetry. Any continuous symmetry of a preference relation implies that its representations satisfy a system of PDEs. Conversely the system implies the continuous symmetry if the latter is generated by a field. Moreover, solving the PDEs yields the functional form for utility equivalent to the symmetry. This framework is shown to encompass a variety of representation theorems related to univariate separability, multivariate separability, and homogeneity, including the cases of Cobb–Douglas and CES utility | en_US |
dc.description.sponsorship | r. The
work reported here was supported by a research fellowship from Nuffield College,
Oxford | en_US |
dc.format.extent | 266 - 277 (11) | en_US |
dc.language | English | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier/Science Direct | en_US |
dc.relation.ispartof | Journal of Mathematical Economics | en_US |
dc.subject | Continuous symmetry | en_US |
dc.subject | Separability | en_US |
dc.subject | Smooth preferences | en_US |
dc.subject | Utility representation | en_US |
dc.title | Preference symmetries, partial differential equations, and functional forms for utility | en_US |
dc.type | Article | |
dc.identifier.doi | 10.1016/j.jmateco.2013.03.001 | en_US |
pubs.issue | 4 | en_US |
pubs.notes | No embargo | en_US |
pubs.publication-status | Published | en_US |
pubs.publisher-url | http://www.sciencedirect.com/science/article/pii/S0304406813000256 | en_US |
pubs.volume | 49 | en_US |